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Finding the Fourth Proportional to 519,114.64, 778,667.36 and 164,128.90

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Solution

The fourth proportional to 519,114.64, 778,667.36 and 164,128.90 is: 246,191.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,114.64 : 778,667.36 = 164,128.90 : x
  2. Step 2: Convert to fraction form
    519,114.64/778,667.36 = 164,128.90/x
  3. Step 3: Cross multiply
    519,114.64x = 778,667.36 × 164,128.90
  4. Step 4: Simplify right side
    519,114.64x = 127,801,817,262.70
  5. Step 5: Solve for x
    x = 127,801,817,262.70/519,114.64
  6. Step 6: Final answer
    x = 246,191.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.